Question

Domain of function f(x) = cos^–1 6x is ______.

Options

• `(-1/6, 1/6)`

• `[(-1)/6, 1/6]`

• R

• `(0, 1/6)`

Answer 1

Domain of function f(x) = cos^–1 6x is `[(-1)/6, 1/6]`.

Explanation:

– 1 ≤ 6x ≤ 1

⇒ `(-1)/6 ≤ x ≤ 1/6`

 Hence, domain is `[(-1)/6, 1/6]`.